Role of vanishing complexity factor in generating spherically symmetric gravitationally decoupled solution for self-gravitating compact object

Abstract

Abstract In this work, we study the role of the vanishing complexity factor in generating self-gravitating compact objects under gravitational decoupling technique in f(Q)-gravity theory. To tackle the problem, the gravitationally decoupled action for modified f(Q) gravity has been adopted in the form $${\mathscr {S}}={{\mathscr {S}}_{Q}}+{{\mathscr {S}}^{*}_{\theta }}$$ S = S Q + S θ ∗ , where $${\mathscr {S}}_Q$$ S Q denotes the Lagrangian density of the fields which appears in the f(Q) theory while $${\mathscr {S}}^{*}_{\theta } (=\alpha {\mathscr {S}}_{\theta }$$ S θ ∗ ( = α S θ , where $$\alpha $$ α is just a coupling parameter which controls the deformation) describes the Lagrangian density for a new kind of gravitational sector which has not been included in f(Q) gravity. After that, we developed an important relation between gravitational potentials via a systematic approach (Contreras and Stuchlik in Eur Phys J C 82:706, 2022) using the vanishing complexity factor condition in the context of f(Q) theory. We have used the Buchdahl model along with the mimic-to-density constraints approach for generating the complexity-free anisotropic solution. The qualitative physical analysis has been done along with the mass-radius relation for different compact objects via $$M-R$$ M - R curves to validate our solution. It is noticed that the coupling constant $$\beta _1$$ β 1 has a definite impact on constraining the mass and radii of the object that are shown in $$M-R$$ M - R curves. The obtained results show that the compactness of the objects can be controlled by the coupling parameters.